A characterization of regular saddle surfaces in the hyperbolic and spherical three-space
Kalikakis, Dimitrios E.
Abstr. Appl. Anal., Tome 7 (2002) no. 12, p. 349-355 / Harvested from Project Euclid
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We prove that the class of regular saddle surfaces in the hyperbolic or spherical three-space coincides with the class of regular surfaces with curvature not greater than the curvature of the surrounding space. We also show that a similar result for nonregular surfaces is incorrect.
Publié le : 2002-05-14
Classification:  53A35,  51M10,  52A55 
@article{1050348396,
     author = {Kalikakis, Dimitrios E.},
     title = {A characterization of regular saddle surfaces in the hyperbolic
and spherical three-space},
     journal = {Abstr. Appl. Anal.},
     volume = {7},
     number = {12},
     year = {2002},
     pages = { 349-355},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1050348396}
}

Kalikakis, Dimitrios E. A characterization of regular saddle surfaces in the hyperbolic
and spherical three-space. Abstr. Appl. Anal., Tome 7 (2002) no. 12, pp.  349-355. http://gdmltest.u-ga.fr/item/1050348396/